InterviewSolution
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InterviewSolution
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A massless platform is kept on a light elastic spring as shown in figure. When a small stone of mass 0.1 kg is dropped on the pan from a height of 0.24 m, the spring compresses by 0.01m. From what height should the stone be droppped to cause a compression of 0.04m in the spring ? A. (a) `0.96m`B. (b) `2.96m`C. (c) `3.96m`D. (d) `0.48m` |
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Answer» Correct Answer - C Let the particle be dropped from a height h and the spring be compressed by y. According to the conservation of mechanical energy, loss in PE of the particle=gain in elastic potential energy of the spring. `mg(h+y)=1/2ky^2` Now, as the particle and spring are same for second case, `(h_1+y_1)/(h_2+y_2)=(y_1/y_2)^2` or `((0.24+0.01)/(h_2+0.04))=((0.01)/(0.04))^2` Solving, we get `h_2=3.96m` |
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